Greatest Common Factor of 371/756, 1386/4715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/756, 1386/4715

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 371/756,1386/4715

Given fractions are 371/756,1386/4715

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 371,1386

Greatest Common Factor of Numerators i.e. GCF of 371,1386 is 7 .

LCM of Denominators means LCM of 756,4715 as per the given fractions.

LCM of 756,4715 is 3564540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,1386

GCF of Fractions 371/756,1386/4715 is 7/3564540

7 371, 1386
53, 198

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 371,1386 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,1386 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Greatest Common Factor

We found the factors 371,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 371,1386 is 7.

Lets's calculate LCM of 756,4715

Given numbers has no common factors except 1. So, there LCM is their product i.e 3564540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3564540

Therefore, the GCF of Fractions 371/756,1386/4715 is 7/3564540

Least Common Multiple of 756,4715 with GCF Formula

Least Common Multiple of 756,4715 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 756,4715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,4715) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(756,4715) x common factors =1 x 1 = 1

LCM(756,4715) = ( 756 × 4715 ) / 1

LCM(756,4715) = 3564540 / 1

LCM(756,4715) = 3564540


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 371/756, 1386/4715

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 371/756, 1386/4715?

Answer: GCF of Numerators as per given numbers 371/756, 1386/4715 is

GCF of Numerators i.e. for 371,1386 is 7

LCM of denominators i.e. for 756,4715 is 3564540.

Thus, GCF of Fractions is 7/3564540.Finally, GCF of Fractions for 371/756, 1386/4715 is 7/3564540.